Scaling Laws and Universal Spectrum of Strong Plasma Turbulence

Abstract

Scaling laws of strong plasma turbulence are obtained with the aid of similarity transformation of physical parameters in the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy equations. Possible existence of a universal spectrum proportional to ${k}^{\ensuremath{-}3}$ is discussed. The scaling arguments are extended to the analysis of the rate of turbulent heating and the anomalous resistivity. It is also shown that the scaling laws are useful in resolving an apparent paradox in the interpretation of the Crab pulsar spectrum.